If the number of bacteria increases by 15% each hour, that means the previous value is multiplied by 1.15 for each increment of t.
We can model this situation using the following exponential equation:
[tex]y=A\cdot(1+r)^t[/tex]
Where A is the initial value (for t = 0) and r is the growth or decay rate.
So, using A = 2000 and r = 0.15 (that is, 15%), we have:
[tex]\begin{gathered} y=2000(1+0.15)^t\\ \\ y=2000(1.15)^t \end{gathered}[/tex]
